[Risolto] Equivalenze

==========================================================

1°)

$10\dfrac{g}{cm^3}=10\times\dfrac{\frac{1}{10^3}}{\frac{1}{10^6}}\dfrac{kg}{m^3}=10\times\dfrac{1}{10^3}\times\dfrac{10^6}{1}\dfrac{kg}{m^3}= 10×10^3 \dfrac{kg}{m^3}= 10^4\dfrac{kg}{m^3}.$

2°)

$10\,\dfrac{g}{ml} = 10×\dfrac{\frac{1}{1000}}{\frac{1}{1000}} \,\dfrac{kg}{l} = 10×\dfrac{1}{\cancel{1000}_1}×\dfrac{\cancel{1000}^1}{1} = 10\,\dfrac{kg}{l}.$

3°)

$20\,\dfrac{N}{dm^2} = 20×\dfrac{\frac{1}{1}}{\frac{1}{100}}\,\dfrac{N}{m^2} = 20×\dfrac{1}{1}×\dfrac{100}{1}\,\dfrac{N}{m^2} = 2000\,\dfrac{N}{m^2}.$

10 g/cm^3 = (10 * 10^-3 kg) /(10^-6 m^3) = 10 * 10^3 kg/m^3,

10^-3 / 10^-6 = 10^(-3 + 6) = 10^3.

10 g/ml = 10 * 10^- 3 kg / (10^-3 L) = 10 kg/Litro; resta uguale.

10^- 3 / 10^-3 = 10^0 = 1.

1 dm^2 = 10^-2 m^2;

20 N/dm^2 = 20 N / (10^-2 m^2) = 20 * 10^2 = 2000 N/m^2

Ciao @anastasia-2